Abstract

We find the static multisoliton solutions of the baby Skyrme model on the two-sphere for topological charges . Numerical full-field results show that the charge-one Skyrmion is spherical, the charge-two Skyrmion is toroidal, and Skyrmions with higher charge all have point symmetries which are subgroups of O(3). We find that a rational map ansatz yields very good approximations to the full-field solutions. We point out a strong connection between the discrete symmetries of our solutions and those of corresponding solutions of the three-dimensional Skyrme model.

Date

January 1, 1970

Authors

Itay Hen, Marek Karliner

Journal

Physical Review E—Statistical, Nonlinear, and Soft Matter Physics

Volume

77

Issue

3

Pages

036612

Publisher

American Physical Society